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Finding the Fourth Proportional to 914.64, 1,262.09 and 516.27

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Solution

The fourth proportional to 914.64, 1,262.09 and 516.27 is: 712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.64 : 1,262.09 = 516.27 : x
  2. Step 2: Convert to fraction form
    914.64/1,262.09 = 516.27/x
  3. Step 3: Cross multiply
    914.64x = 1,262.09 × 516.27
  4. Step 4: Simplify right side
    914.64x = 651,579.20
  5. Step 5: Solve for x
    x = 651,579.20/914.64
  6. Step 6: Final answer
    x = 712.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.